Answer:
16x² +48x +36
Step-by-step explanation:
A perfect square trinomial is of the form ...
(a +b)² = a² +2ab +b²
We want to match this form.
__
<h3>comparing terms</h3>
Comparing the known terms, we see ...
16x² = a² ⇒ a = 4x
36 = b² ⇒ b = 6
<h3>filling in the missing term</h3>
The missing term is the linear term:
2ab = 2(4x)(6) = 48x
? = 48
Answer:
Step-by-step explanation:
- Speed in one direction = 40 km/h
- Speed on return = x
- Average speed = 60 km/h
Let the distance be d
<u>Average speed </u>
- 2d/(d/40 + d/x) = 60
- d/40 + d/x = 2d/60
- 1/40 + 1/x = 1/30
- 1/x = 1/30 - 1/40
- 1/x = (4-3)/120
- 1/x = 1/120
- x = 120 km/h
Answer:
q = 26
Step-by-step explanation:
Given the point (3, q ) lies on the line then the coordinates satisfy the equation.
Substitute x = 3, y = q into the equation
q = 8(3) + 2 = 24 + 2 = 26
Answer:
i) k = 36.8
ii)y = 36.8/square root of x
iii)y = 1.4
Step-by-step explanation:
If y is inversely proportional to square root of x;
then the two variables are related by,
y = k/ square root of x
i)Value of k when...x = 8 and y = 13,
substitute into the equation above..so as to find the value of k
13 = k/square root of 8
;k = 13 × square root of 8
;k = 36.8
ii)Then substitute the value of k with...36.8
y = 36.8/square root of x
iii)If x = 27...then y =;
y = 36.8/27
y = 1.4
Answer: 4 V
Step-by-step explanation:
The formula for electrical power 
is:
Where:
is the water heater electrical power
is he water heater voltage
is the electrical resistance
Isolating :
Hence:
